Advisory Committee Chair
Christian Hainzl
Advisory Committee Members
Kenneth B Howell
Ryoichi Kawai
Junfang Li
Tavan Trent
Document Type
Dissertation
Date of Award
2009
Degree Name by School
Doctor of Philosophy (PhD) College of Arts and Sciences
Abstract
We present a rigorous analysis of the Bardeen-Cooper-Schrieer (BCS) functional for asymmetric fermionic systems with general pair interaction potentials. We relate the existence of a non-trivial solution to the non-linear BCS gap equation to the spectrum of certain linear operators. In addition, we derive upper and lower bounds on the asymptotic behavior of the critical temperature and energy gap (at zero temperature) for the BCS gap equation, describing asymmetric fermions interacting via a two-body interaction potential \lambdaV , in the small coupling limit. Our results hold for all values of the chemical potential.
Recommended Citation
Freiji, Abraham, "The BCS Gap Equation for Asymmetric Fermionic Systems" (2009). All ETDs from UAB. 1668.
https://digitalcommons.library.uab.edu/etd-collection/1668